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Finding the Third Proportional to 10,688.63 and 26,205.19

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Solution

The third proportional to 10,688.63 and 26,205.19 is: 64,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.63 : 26,205.19 = 26,205.19 : x
  2. Step 2: Convert to fraction form
    10,688.63/26,205.19 = 26,205.19/x
  3. Step 3: Cross multiply
    10,688.63x = 26,205.19 × 26,205.19
  4. Step 4: Simplify right side
    10,688.63x = 686,711,851.91
  5. Step 5: Solve for x
    x = 686,711,851.91/10,688.63
  6. Step 6: Final answer
    x = 64,246.98

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.